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lesya692 [45]
3 years ago
7

ABCD is a quadrilateral with AB equal and parallel to DC. prove that AD is equal and parallel to BC​

Mathematics
1 answer:
rewona [7]3 years ago
6 0

Answer: see below proof

Step-by-step explanation:

Imagine a diagonal line AC

If AB = DC and AB // DC then angle BAC =

Angle ACD Alternate Interior angles theorem.

Then if AB = AD and angle BAC = angle ACD and AC = AC then triangle ABC is congruent to triangle CDA.

If triangle ABC is congruent to triangle CDA then AD = BC because congruent parts of congruent triangles are congruent.

If triangle ABC is congruent to triangle CDA then angle ACB = angle CAD because congruent parts of congruent triangles are congruent.

If angle ACB = angle CAD then AD // BC because of the alternate interior angles theorem.

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−8.1n+8.2

Step-by-step explanation:

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Represent the arithmetic series using the recursive formula. 94, 89, 84, 79, … <br>pLeAsE hUrRy
andreev551 [17]

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The answer is 5

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2 years ago
Divide: –65.86 ÷ (–7.4)
Rina8888 [55]

Answer:

8.9


Step-by-step explanation:

The answer is 8.9 because two negatives divided by each other equals a positive. In this case, there are two negatives so you know the answer will be a positive. In the end when you divided –65.86 ÷ (–7.4), you get 8.9!

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3 0
2 years ago
I need help with this problem PLEASE HELP
xxTIMURxx [149]

The domain of the function is: {-5, -3, -1, 1}

The range of the function is: {-5, -3, -1, 1}

<h3>How to Determine the Range and the Domain of a Function?</h3>

In any given graph that represents a function, the possible set of domain values are plotted on the x-axis (horizontal axis), while the possible set of corresponding range values are plotted on the y-axis (vertical axis).

Thus, the set of x-values (input values) on a graph is the domain of the function while the set of y-values (output values) is the range of the function.

In the given graph, the set of x-values are: -5, -3, -1, and 1.

The set of y-values are: -5, -3, -1, and 1.

Therefore:

The domain of the function is: {-5, -3, -1, 1}

The range of the function is: {-5, -3, -1, 1}

Learn more about the domain and range of a function on:

brainly.com/question/10197594

#SPJ1

7 0
1 year ago
Paper 3 Foundation Practice Questions. Monday 13th June 2022
erica [24]
All you have to do is divide the number by the denominator which is 8. So 510 divided by 8.

Which will give you 63.75.

Then you times it by the numerator which is 3 so 63.75 x 3

And you are left with £191.25 which is 3/8 of 510
7 0
2 years ago
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